An efficient multiobjective differential evolution algorithm for engineering design

Application of Multi-objective Charged System Search Algorithm for Optimization Problems

“…6. The obtained results are distribution, spread and smooth which are the same or better than the results obtained in other researches [11,45,62].…”

“…However, this method requires careful tuning of the penalty function coefficients to obtain a satisfactory design. Moreover, application of this method to a multi-objective optimization problem raises another problem; how to combine multiple constraints with multiple objectives [11,48].…”

“…The welded beam design is a real-life application problem [11,62], which the aim is to minimize the cost and the endpoint's deflection subject to constraints on shear stress, bending stress and buckling load (Fig.5). The detailed formulation can be found in [11,45,62,63]. It is desired to find four design parameters …”

“…Multi-objective optimization (also known as vector optimization, multi criteria/attribute optimization, multiobjective programming, or Pareto optimization) is defined as the process of finding a decision vector to optimize a set of objective functions that satisfies some certain constraints [8,9] while the aim of a single objective optimization is to optimize just one objective function. In contrast 3 with a single objective optimization, multi-objective problems are more difficult and complex [10,11]. Some reasons are:…”

Controller tuning using evolutionary multi-objective optimisation: Current trends and applications

“…Popular ideas include pruning mechanisms [25,26,27,28,29,30], spreading measures [31] or performance indicators [32] of the approximated front.…”